a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 volume was at most 4800 cm3. what mathematical statement would represent the volume of the new packaging box?​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?​

Solution:

Let the width of the box be x cm.

The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40

The height of the box = 12 cm

The volume of the box can be gotten from the formula:

Volume = length × width × height

Substituting:

Volume = (x + 40) × (x) × 12

Volume = 12x(x + 40)

Therefore the volume of the new box is 12x(x + 40)


Related Questions

Hello please help as I do not understand and if it’s possible please include pictures. Spam or just random numbers will be reported please help :)) SLOPE BTW!!

Answers

the equation will be y = -3/2x + 4. you can use the form y = mx + b to find the equation. the slope of the line (m in the equation) is -3/2. you can count from one point to another point by following rise over run. count 6 units down from the point on the far left and 2 units right. you get -6/2, which reduces to -3/2. the b part of the equation is your y-intercept, which is where the line crosses the y-axis. in this case, the y-intercept is (0, 4), so the b value will be 4.

20 points and brainlest to whoever answers this with the correct answer!!! Need this ASAP!!

Claire mixes to 2 1/2 cups of water with 1/3 cup of orange juice concentrate. Han wants to make orange juice that taste the same. Which equation represents the amount of water ,w, relation to the amount of orange juice concentrate, C, used to make the orange juice.

A. C=5/6 w
B. C = 15/2 w
C. C =2/15 w
D. C= 6/5 w

Answers

I think A but I really don't know

Answer:

B

Step-by-step explanation:

2 1/2 and 1/3

2 3/6 to 2/6

15/6 to 2/6

15/2 w

Explain how to find the y-intercept on a graph.

Answers

Answer:

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Step-by-step explanation:

Answer:

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Step-by-step explanation:

I hope I helped!!!

3) y +24r + 45 = 0
What is the greatest common factor

Answers

Answer:

The greatest common factor 24 and 45

The GCF of 24 and 45 is 3.

Step-by-step explanation:

I googled it

Answer:

Step-by-step explanation:

45

PLEASE ANSWER IM BEING TIMED HELPP

Jada is buying 4 stamps that cost $0.49 each. How can rounding be used to estimate the total cost of the stamps?


Since each stamp is about $0.50, the total cost is approximately 4 + 0.5 = $4.50.

Since she is buying about 10 stamps, the total cost is approximately 10 × 0.49 = $4.90.

Since each stamp is about $0.50, the total cost is approximately 4 × 0.5 = $2.00.

Since she is buying about 10 stamps, the total cost is approximately 10 + 0.49 = $10.49.

Answers

The answer of the given question based on the word problem of multiplication is , option (c) Since each stamp is about $0.50, the total cost is approximately 4 × 0.5 = $2.00.

What is Total cost?

Total cost refers to the complete amount of money required to purchase or produce a given quantity of goods or services. It includes all the expenses involved in the production or purchase of the product or service, like materials, labor, and overhead costs, as well as any other additional expenses like  taxes or shipping fees. Total cost is an important concept in economics and accounting as it helps businesses and individuals to determine the profitability of a product or service and make informed decisions about pricing and production.

The answer is: "Since each stamp is about $0.50, the total cost is approximately 4 × 0.5 = $2.00."

Rounding can be used to estimate the total cost of the stamps by approximating the cost of each stamp to the nearest 50 cents, which is $0.50. Therefore, the cost of four stamps can be estimated as 4 multiplied by 0.50, which is $2.00.

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Adrian could only finish \large \frac{7}{8} of his math test before time ran out. The test had 32 questions. How many questions did Adrian answer before time ran out?


Answers

9514 1404 393

Answer:

  28

Step-by-step explanation:

Adrian answered 7/8 of 32 questions, so the number he finished is ...

  (7/8) × 32 = (7×32)/8 = 7×(32/8) = 7×4 = 28

Adrian answered 28 questions.

Megan receives a $500 allowance each month for her college expenses. She spends 48.7% of this allowance on food and clothing each month. About how much does she spend each month on food and clothing?

Answers

Answer:250

Step-by-step explanation:

joe and Charlie ate at the same restaurant. Jose bought 4 hamburgers and 2 sodas for $12.50. Charlie bought 3 hamburgers and 3 sodas for $11.25. What was the price of one hamburger?

Answers

Answer:

2.50

Step-by-step explanation:

hope this helped :)

Answer:

$2.50

Step-by-step explanation:

BRAINLIEST IF CORRECT

Answers

Answer: 111.

Step-by-step explanation: 3 times 111= 333

The answer for your question question is 111.

Will Give Brainliest!!!

Which ordered pair is a solution of the equation?

-3x+5y=2x+3y

Choose 1 answer:


(Choice A)


Only (2,4)


(Choice B)


Only (3,3)


(Choice C)


Both (2,4) and (3,3)

(Choice D)


Neither

Answers

Answer: neither

Reason: substitute the x values of the question with the point given. And do the same for the y values

Points are written (x, y)
So we know the first number of the point is x and the second is a y.
Next we substitute the letters with the numbers and solve.
Hope this helps

lily likes to collect records. Last year she had 4 records in her collection. Now she has 7 records. What is the percent increase of her ​collection?

Answers

Answer:

75% increase

Step-by-step explanation:

First we need to figure out how many new records she got this year...

7-4 = 3 new records.

Now, we need to know how many times 4 goes into 100%....

100 ÷ 4 = 25%

This tells us that a single record this year is a 25% increase.

Now, we multiply 25% by 3 to get 75% as our final answer

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!

What is half of 215 ?

Answers

Answer:

107.5

Step-by-step explanation:

Answer:

107.5

Step-by-step explanation:

hope this helps :P


O A. -5
B. -25
C. 5 or -5
D. -15

Answers

Answer:

-25 or Option B

Step-by-step explanation:

So, to solve this we will convert to an exponential form.

sqrt2 is 2 ^ 1/2

so,

3sqrt (-125)

is -125^ 1/3

Then, we factorize.

-25*3^1/3.

-25

Hope this helps plz hit the crown :D

#Team Rainbows!

Please help me please

Answers

Answer:

b

Step-by-step explanation:

cause u are using 3 gallons which is taking away

Answer:

the answer is only 3

Step-by-step explanation:

you read all of them and you make it an equation and if it is negative or subtraction that would be your answer

Dorian posted two online videos on the same day.
The total number of views for Video A after t days can be modeled by the equation v = 12t.
The total number of views for Video B after t days is shown by the graph. Which statement is true?

Answers

Hi how do I answer hi how do I answer

Answer: the answer is (The rate of change for the function for video A is constant, but the rate of change for video B is not constant.) So C.

Step-by-step explanation: We’re in the same class and I got this question right so your welcome :)

sord
for 200
25% find me to​

Answers

Answer:

8

Step-by-step explanation:

Answer:

50 = 25% of 200

Step-by-step explanation:

I don't fully get what is being asked

Help look at picture attached please

Answers

It’s the option that says 12. Since x=12

Help me on question 1 please!!!!

Answers

Yes I do believe they are similar.

Can someone plz help me

Answers

first pair - ( 1, 200 )
second pair - ( 2, 400 )
third pair - ( 3, 600 )
fourth - ( 4, 800 )
fifth - ( 5, 1000 )

What is the root of the polynomial equation *(x-2)(x+3) - 18? Use a graphing calculator and a system of
equations.
O-3
ОО
O2
O 3

Answers

Answer:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

Step-by-step explanation:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

When multiplying 1,729 times 308, Clayton got a product of 53,253. Without
calculating, does his product seem reasonable?

Answers

Answer:

Well, let's try and estimate it! Let's say.....1,700 times 300. or even to simplify it a bit more 2000 times 300.

Step-by-step explanation:

First, 1,700 times 300 is 510,000. Since you already know that you can figure out that it's already not true.

2000 times 300 is 600000. So that also comes into context.

Hope this helps!

Pls help I have been trying to figure this out for days help!!

Answers

Answer:

3 14 18 -31 25

Step-by-step explanation:

Is this supposed to equal something?  What's the meaning?

Help me pretty please

Answers

Answer:

This a opinion based writing just write how you think about the question cause if you copy paste it the teachers can copy and then paste your answer into google and find where you copied it

Step-by-step explanation:

Please answer: is y – 4x = 9 linear?

Answers

I think so It’s linear yes

At which point do the two equations
[tex]3x + 5y = y + 4x[/tex]
and
[tex]y = {x}^{2} [/tex]
intersect?​

Answers

The lines intersect at two places.

They intersect at approximately (-2,8) and (2,3)

Looking at the choices they would be at (1.8,3.2) and (-2.8,7.8)

The answer is D. Both A and B.

Geometry please help!!

Answers

Answer:

Yes. The legs are PQ for both triangles.

Step-by-step explanation:

PQ is congruent to PQ (itself) by the reflexive postulate. We can use this along with our congruent hypotenuses and the right angle to determine that these right triangles are congruent by HL.

I hope this helps!

Vectors a, b, c, d and e are drawn on an isometric grid.
a
Write each of the vectors c, d and e
in terms of a and/or b.
Give each answer in its simplest
form

Answers

Answer:

c= 3a

d= a+b

e= a-b

A resultant vector is given by the sum of the component vectors

The correct options are;

c = 3·a

d = a + b

e = a - b

The reasons why the above options are correct are as follows:

Required:

To write the vectors c, d, and e in terms of a and/or b

Solution:

The vector c comprises of three horizontal segments each of length a, therefore, we have;

c = 3·a

The vector d comprises of the vectors a followed by the vector b, therefore, we have;

d = a + b

The vector e comprises of the re verse of the vector b (which is -b) followed by the vector a to give;

e = a - b

Learn more about the addition of vectors here:

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Marissa ate six slices of pizza from the 16-piece large pizza. What percent of the pizza did she eat?

Answers

Answer:

0.96%

Step-by-step explanation:

look on google and search dollar times it helps with problems like this

hope this helps

The percentage of pizza Marissa ate was 37.5 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the percentage of pizza Marissa ate be = A

Let the total number of slices in the pizza be = 16 slices

Let the number of slices of pizza Marissa ate be = 6 slices

So , the equation will be

The percentage of pizza Marissa ate A = ( number of slices of pizza Marissa ate / total number of slices in the pizza ) x 100

On substituting the values in the equation , we get

The percentage of pizza Marissa ate A = ( 6 / 16 ) x 100

The percentage of pizza Marissa ate A = ( 3 / 8 ) x 100

The percentage of pizza Marissa ate A = 0.375 x 100

The percentage of pizza Marissa ate A = 37.5 %

Therefore , the value of A is 37.5 %

Hence , The percentage of pizza Marissa ate was 37.5 %

To learn more about percentage click :

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Which of the following coordinate pairs make the equation x - 9y = 12 true?

Answers

Options:

(12,0)     (0,12)    (3,-1)    (0,-4/3)

Answer:

(12,0) ,  (3,-1)  and (0,-4/3)

Step-by-step explanation:

Given

[tex]x - 9y = 12[/tex]

Required

Which option is true?

A coordinate point is of the form; [tex](x,y)[/tex]

So, we have to substitute the x and y values in the given equation.

A. For (12,0)

[tex]x = 12[/tex] and [tex]y = 0[/tex]

[tex]x - 9y = 12[/tex] becomes

[tex]12 - 9*0 = 12[/tex]

[tex]12 - 0 = 12[/tex]

[tex]12 = 12[/tex]

This is true

B. For (0,12)

[tex]x = 0[/tex] and [tex]y = 12[/tex]

[tex]x - 9y = 12[/tex] becomes

[tex]0 - 9*12 = 12[/tex]

[tex]- 9*12 = 12[/tex]

[tex]- 108 = 12[/tex]

This is false

C. For (3,-1)

[tex]x =3[/tex] and [tex]y = -1[/tex]

[tex]x - 9y = 12[/tex] becomes

[tex]3 - 9*-1 =12[/tex]

[tex]3 + 9 =12[/tex]

[tex]12 = 12[/tex]

This is true

D. For (0,-4/3)

[tex]x = 0[/tex] and [tex]y = -\frac{4}{3}[/tex]

[tex]x - 9y = 12[/tex] becomes

[tex]0- 9*-\frac{4}{3} = 12[/tex]

[tex]0+ 9*\frac{4}{3} = 12[/tex]

[tex]0+ 3*4 = 12[/tex]

[tex]0+12 = 12[/tex]

[tex]12 = 12[/tex]

This is true

Hence, (12,0) ,  (3,-1)  and (0,-4/3) are true values of the equation

Find the output, y, when the input, x, is 30.
y = 14 – 0.58x
y =

Answers

Answer:

-1

Step-by-step explanation:

14 - .5(30)

14 - 15 = -1

y = -1

Step-by-step explanation:

insert x = 30

y = 14-0.5(30)

y = 14-15

y = -1

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